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Finding the Third Proportional to 3,610.83 and 7,802.58

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Solution

The third proportional to 3,610.83 and 7,802.58 is: 16,860.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.83 : 7,802.58 = 7,802.58 : x
  2. Step 2: Convert to fraction form
    3,610.83/7,802.58 = 7,802.58/x
  3. Step 3: Cross multiply
    3,610.83x = 7,802.58 × 7,802.58
  4. Step 4: Simplify right side
    3,610.83x = 60,880,225.40
  5. Step 5: Solve for x
    x = 60,880,225.40/3,610.83
  6. Step 6: Final answer
    x = 16,860.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.